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Finding the Fourth Proportional to 631,141.62, 946,720.80 and 210,417.64

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Solution

The fourth proportional to 631,141.62, 946,720.80 and 210,417.64 is: 315,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,141.62 : 946,720.80 = 210,417.64 : x
  2. Step 2: Convert to fraction form
    631,141.62/946,720.80 = 210,417.64/x
  3. Step 3: Cross multiply
    631,141.62x = 946,720.80 × 210,417.64
  4. Step 4: Simplify right side
    631,141.62x = 199,206,756,474.91
  5. Step 5: Solve for x
    x = 199,206,756,474.91/631,141.62
  6. Step 6: Final answer
    x = 315,629.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.